Abstract
In 3d Chern-Simons theory, there is a discrete one-form symmetry, whose symmetry group is isomorphic to the center of the gauge group. We study the ‘t Hooft anomaly associated to this discrete one-form symmetry in theories with generic gauge groups, A, B, C, D-types. We propose to detect the discrete anomaly by computing the Hopf state entanglement in the subspace spanned by the symmetry generators and develop a systematical way based on the truncated modular S matrix. We check our proposal for many examples.
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Hung, LY., Wu, YS. & Zhou, Y. Linking entanglement and discrete anomaly. J. High Energ. Phys. 2018, 8 (2018). https://doi.org/10.1007/JHEP05(2018)008
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DOI: https://doi.org/10.1007/JHEP05(2018)008